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Finding the Fourth Proportional to 731.78, 1,006.71 and 711.28

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Solution

The fourth proportional to 731.78, 1,006.71 and 711.28 is: 978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.78 : 1,006.71 = 711.28 : x
  2. Step 2: Convert to fraction form
    731.78/1,006.71 = 711.28/x
  3. Step 3: Cross multiply
    731.78x = 1,006.71 × 711.28
  4. Step 4: Simplify right side
    731.78x = 716,047.66
  5. Step 5: Solve for x
    x = 716,047.66/731.78
  6. Step 6: Final answer
    x = 978.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.